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86938677903 = 371111319317257
BaseRepresentation
bin101000011110111110…
…0101111001010001111
322022101220110102200110
41100331330233022033
52411022300143103
6103534501331103
76165264366150
oct1207574571217
9268356412613
1086938677903
1133963687530
1214a23706a93
13827681a09c
1442ca4d1927
1523dc723403
hex143df2f28f

86938677903 has 64 divisors (see below), whose sum is σ = 146564324352. Its totient is φ = 44528762880.

The previous prime is 86938677887. The next prime is 86938677907. The reversal of 86938677903 is 30977683968.

It is a happy number.

It is not a de Polignac number, because 86938677903 - 24 = 86938677887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86938677907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5029251 + ... + 5046507.

It is an arithmetic number, because the mean of its divisors is an integer number (2290067568).

Almost surely, 286938677903 is an apocalyptic number.

86938677903 is a deficient number, since it is larger than the sum of its proper divisors (59625646449).

86938677903 is a wasteful number, since it uses less digits than its factorization.

86938677903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17584.

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 86938677903 in words is "eighty-six billion, nine hundred thirty-eight million, six hundred seventy-seven thousand, nine hundred three".

Divisors: 1 3 7 11 21 33 77 113 193 231 339 579 791 1243 1351 2123 2373 3729 4053 6369 8701 14861 17257 21809 26103 44583 51771 65427 120799 152663 189827 239899 362397 457989 569481 719697 1328789 1679293 1950041 3330601 3986367 5037879 5850123 9991803 13650287 21450451 23314207 36636611 40950861 64351353 69942621 109909833 150153157 256456277 376357913 450459471 769368831 1129073739 2634505391 4139937043 7903516173 12419811129 28979559301 86938677903